论文标题
有限有限尺寸的左右对称性
Left-right symmetry of finite finitistic dimension
论文作者
论文摘要
我们表明，当且仅当对于所有有限维数代数时，有限维度代数的有限维度构构构成，代数的有限维度意味着其相对代数的有限维度也有限。我们还证明了注射式生成的等效陈述。
We show that the finitistic dimension conjecture holds for all finite dimensional algebras if and only if, for all finite dimensional algebras, the finitistic dimension of an algebra being finite implies that the finitistic dimension of its opposite algebra is also finite. We also prove the equivalent statement for injective generation.
